Publication: The panel-clustering method for the wave equation in two spatial dimensions
The panel-clustering method for the wave equation in two spatial dimensions
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Falletta, S., & Sauter, S. A. (2016). The panel-clustering method for the wave equation in two spatial dimensions. Journal of Computational Physics, 305, 217–243. https://doi.org/10.1016/j.jcp.2015.10.033
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We consider the numerical solution of the wave equation in a two-dimensional domain and start from a boundary integral formulation for its discretization. We employ the convolution quadrature (CQ) for the temporal and a Galerkin boundary element method (BEM) for the spatial discretization. Our main focus is the sparse approximation of the arising sequence of boundary integral operators by panel clustering. This requires the definition of an appropriate admissibility condition such that the arising kernel functions can be efficiently a
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- Falletta, Silvia
- Sauter, Stefan A
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Falletta, S., & Sauter, S. A. (2016). The panel-clustering method for the wave equation in two spatial dimensions. Journal of Computational Physics, 305, 217–243. https://doi.org/10.1016/j.jcp.2015.10.033
